Second of second; second page; second sight (3)
I believe the answer is:
esp
'second sight' is the definition.
(extrasensory perception)
'second of second second page' is the wordplay.
'second of second' becomes 'e' (2nd letter of 'second').
'second' becomes 's' (common abbreviation).
'page' becomes 'p'.
'e'+'s'+'p'='ESP'
(Other definitions for esp that I've seen before include "Initially, clairvoyance or telepathy" , "Second sight (abbr)" , "Apparent power to perceive things that others can't, in short" , "Apparent power to perceive things that others can't, initially" , "Extrasensory perception (abbrev.)" .)